Finding the Third Proportional to 149,440 and 312,728
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Solution
The third proportional to 149,440 and 312,728 is: 654,435.24
Step by Step Solution
- Step 1: Write the proportion equation
149,440 : 312,728 = 312,728 : x - Step 2: Convert to fraction form
149,440/312,728 = 312,728/x - Step 3: Cross multiply
149,440x = 312,728 × 312,728 - Step 4: Simplify right side
149,440x = 97,798,801,984 - Step 5: Solve for x
x = 97,798,801,984/149,440 - Step 6: Final answer
x = 654,435.24
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Why These Related Problems?
These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.